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Introduction. What is a classical field theory?
Introduction. What is a classical field theory?

450 AD and Prior Democritus - reich
450 AD and Prior Democritus - reich

... resolves into "everything is particles", which then resolves into "everything is fields". In the end, particles are regarded as excited states of a field (field quanta). Quantum field theory provides a theoretical framework for constructing quantum mechanical models of systems classically described ...
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... The frequency of the radiation emitted when such a change takes place is the energy difference divided by Planck’s constant. For a simple system of an electron rotating around a positively charged nucleus the stationary states are determined by requiring that the ratio of the total energy and the fr ...
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Doctoral Programmes in Physics at IMSc

... Lagrangian and Hamiltonian densities, quantization of KG and Dirac and electromagnetic fields, propagators for KG, Dirac and vector (photons) ; • Perturbation theory: Wick’s theorem and Wick expansion, Feynman diagrams, cross sections and S matrix. Feynman rules for scalars, spinors and gauge fields ...
Loop quantum gravity - Institute for Gravitation and the Cosmos
Loop quantum gravity - Institute for Gravitation and the Cosmos

... uum. We can therefore still think of the field as a sort of important, however, not to confuse the dynamics in a gravitaspace–time, albeit one that bends, oscillates and obeys field tional field with the dynamics of the gravitational field itself. equations. However, once we bring quantum mechanics ...
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Equations of Discontinuity - Max-Planck

... History of Science, “but it remained unclear why certain physical variables, such as energy, are quantized.” The brightest minds in physics were becoming more and more dissatisfied with this situation. In the early 1920s, they committed themselves to creating a new, more basic quantum theory. After ...
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pdf file - UC Davis Particle Theory

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ADVENTURES IN PHYSICS AND MATH Edward Witten From a

... was made from a new kind of quark. As I say, to me it looked like this realization followed a few days of initial confusion, but it may be that things were clearer even sooner to the senior professors, and their understanding just took a while to filter down to us students. I have gone into so much ...
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Echoes of the Early Universe

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Syllabus, Physics 315, Modern Physics, 3 credits Designation

... Chapters 38 introduces Quantum Physics, by showing why a quantum theory is necessary for a correct description of electromagnetic radiation; summarizes the atomic theory of matter, examining the composition of all matter in terms of atoms and their constituents; and provides a look into early attemp ...
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Leggi in PDF - SIF Prima Pagina

... would dare to question [4]. Concerning the muon lifetime, now it is also given for granted that we understand the so called "weak interactions". So much we know that we have discovered how these interactions are mixed with the electromagnetic forces: in the Standard Model we have in fact the "electr ...
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Solving quantum field theories via curved spacetimes

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Understanding Nothing - University of Southampton

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Section 2.0a: the four fundamental interactions, leptons and hadrons

The True End of Theoretical Physics
The True End of Theoretical Physics

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Quantum gravity



Quantum gravity (QG) is a field of theoretical physics that seeks to describe the force of gravity according to the principles of quantum mechanics.The current understanding of gravity is based on Albert Einstein's general theory of relativity, which is formulated within the framework of classical physics. On the other hand, the nongravitational forces are described within the framework of quantum mechanics, a radically different formalism for describing physical phenomena based on probability. The necessity of a quantum mechanical description of gravity follows from the fact that one cannot consistently couple a classical system to a quantum one.Although a quantum theory of gravity is needed in order to reconcile general relativity with the principles of quantum mechanics, difficulties arise when one attempts to apply the usual prescriptions of quantum field theory to the force of gravity. From a technical point of view, the problem is that the theory one gets in this way is not renormalizable and therefore cannot be used to make meaningful physical predictions. As a result, theorists have taken up more radical approaches to the problem of quantum gravity, the most popular approaches being string theory and loop quantum gravity. A recent development is the theory of causal fermion systems which gives quantum mechanics, general relativity, and quantum field theory as limiting cases.Strictly speaking, the aim of quantum gravity is only to describe the quantum behavior of the gravitational field and should not be confused with the objective of unifying all fundamental interactions into a single mathematical framework. While any substantial improvement into the present understanding of gravity would aid further work towards unification, study of quantum gravity is a field in it's own right with various branches having different approaches to unification. Although some quantum gravity theories, such as string theory, try to unify gravity with the other fundamental forces, others, such as loop quantum gravity, make no such attempt; instead, they make an effort to quantize the gravitational field while it is kept separate from the other forces. A theory of quantum gravity that is also a grand unification of all known interactions is sometimes referred to as a theory of everything (TOE).One of the difficulties of quantum gravity is that quantum gravitational effects are only expected to become apparent near the Planck scale, a scale far smaller in distance (equivalently, far larger in energy) than what is currently accessible at high energy particle accelerators. As a result, quantum gravity is a mainly theoretical enterprise, although there are speculations about how quantum gravity effects might be observed in existing experiments.
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